Abstract
The kinetics of bimolecular quenching of incoherent Frenkel excitons is investigated in the one-dimensional case. The equation for the distribution of distances between neighbouring excitons is derived and solved analytically in the limit of large times. It is found that the time dependence of the exciton concentration c has the form c approximately t-12/. The analytical expressions are confirmed by the results of direct computer simulations.